Engineering: Find the power production (in mw) of a 25 m radius wind turbine if the average wind speed is 12 m/s and the efficiency of this turbine in converting kinetic energy of air to mechanical work is 10%? the density of air is 1.20 kg/m^3

Find the power production (in mw) of a 25 m radius

chameleonsarelife

02.01.2022

shaft power 0.2034 MW

Explanation:

given details

radius of turbine = 25 m

average wind velocity = 12 m/s

density of air = 1.20 kg/m^2

Total power is calculated as

$P = \frac{1}{2} \rho AV^3$

$= \frac{1}{1} \rho \pir^2 V^3$

$= \frac{1}{2} 1.20\times \pi \times 625\times 12^3 = 2034,720 watt$

P = 2.034 MW

shaft power $= \eta \times P$

$= 0.10 \times 2.034$

= 0.2034 MW

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BrianKeokot7700

25.03.2020

rdyeghbcskml,a;

Explanation:

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